Number field data - 10.0.324037827.1

Formats: - HTML - YAML - JSON - 2024-04-30T06:24:41.222382

• nf_fields •

  Column	Type
  class_group	jsonb
  class_number	numeric
  cm	boolean
  coeffs	numeric[]
  conductor	numeric
  degree	smallint
  disc_abs	numeric
  disc_rad	numeric
  disc_sign	smallint
  embeddings_gen_imag	double precision[]
  embeddings_gen_real	double precision[]
  gal_is_abelian	boolean
  gal_is_cyclic	boolean
  gal_is_solvable	boolean
  galois_disc_exponents	numeric[]
  galois_label	text
  galt	integer
  grd	double precision
  index	integer
  inessentialp	integer[]
  is_galois	boolean
  is_minimal_sibling	boolean
  iso_number	smallint
  label	text
  local_algs	text[]
  minimal_sibling	numeric[]
  monogenic	smallint
  num_ram	smallint
  r2	smallint
  ramps	numeric[]
  rd	double precision
  regulator	numeric
  subfield_mults	integer[]
  subfields	text[]
  torsion_order	smallint
  used_grh	boolean
  dirichlet_group	bigint[]
  frobs	jsonb
  res	jsonb
  source	text
  subfield_inclusions	smallint[]
  torsion_gen	text
  units	jsonb
  unitsGmodule	jsonb
  unitsType	text
  zk	jsonb

  
  {'class_group': [], 'class_number': 1, 'cm': False, 'coeffs': [1, 0, 1, -3, 4, -2, 0, -1, 3, -3, 1], 'conductor': 0, 'degree': 10, 'dirichlet_group': [], 'disc_abs': 324037827, 'disc_rad': 4000467, 'disc_sign': -1, 'frobs': [[2, [[10, 1]]], [3, [0]], [5, [[4, 2], [2, 1]]], [7, [[5, 1], [3, 1], [2, 1]]], [11, [[6, 1], [2, 2]]], [13, [[5, 2]]], [17, [[4, 2], [2, 1]]], [19, [[5, 1], [4, 1], [1, 1]]], [23, [[6, 1], [2, 2]]], [29, [[8, 1], [2, 1]]], [31, [[3, 1], [2, 3], [1, 1]]], [37, [[4, 1], [3, 1], [2, 1], [1, 1]]], [41, [[6, 1], [2, 2]]], [43, [[5, 1], [3, 1], [1, 2]]], [47, [[6, 1], [4, 1]]], [53, [[10, 1]]], [59, [[8, 1], [2, 1]]]], 'gal_is_abelian': False, 'gal_is_cyclic': False, 'gal_is_solvable': False, 'galois_disc_exponents': [14400, 14400], 'galois_label': '10T43', 'galt': 43, 'grd': 2000.1167465925582, 'index': 1, 'inessentialp': [], 'is_galois': False, 'is_minimal_sibling': True, 'iso_number': 1, 'label': '10.0.324037827.1', 'local_algs': ['3.4.2.1', '3.6.3.2', 'm1333489.1.1.0', 'm1333489.1.1.0', 'm1333489.1.1.0', 'm1333489.1.2.0', 'm1333489.2.1.1', 'm1333489.1.3.0'], 'monogenic': 1, 'num_ram': 2, 'r2': 5, 'ramps': [3, 1333489], 'rd': 7.09675105687, 'regulator': {'__RealLiteral__': 0, 'data': '2.28471092827', 'prec': 44}, 'res': {}, 'subfield_mults': [1], 'subfields': ['1.-1.1'], 'torsion_gen': '\\( -2 a^{9} + 3 a^{8} - a^{7} - a^{6} + 4 a^{4} - 2 a^{3} + a^{2} + 2 a + 2 \\)', 'torsion_order': 6, 'units': ['\\( a^{9} - 2 a^{8} + a^{7} + a^{6} - a^{5} - 2 a^{4} + 2 a^{3} - a^{2} - a \\)', '\\( a \\)', '\\( 2 a^{9} - 4 a^{8} + 3 a^{7} - a^{5} - 3 a^{4} + 4 a^{3} - 3 a^{2} - a - 1 \\)', '\\( 2 a^{9} - 3 a^{8} + a^{7} + a^{6} - 4 a^{4} + 3 a^{3} - 2 a^{2} - 2 a - 1 \\)'], 'used_grh': False, 'zk': ['1', 'a', 'a^2', 'a^3', 'a^4', 'a^5', 'a^6', 'a^7', 'a^8', 'a^9']}